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Finding the Fourth Proportional to 29,219.42, 43,829.73 and 9,497.94

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Solution

The fourth proportional to 29,219.42, 43,829.73 and 9,497.94 is: 14,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.42 : 43,829.73 = 9,497.94 : x
  2. Step 2: Convert to fraction form
    29,219.42/43,829.73 = 9,497.94/x
  3. Step 3: Cross multiply
    29,219.42x = 43,829.73 × 9,497.94
  4. Step 4: Simplify right side
    29,219.42x = 416,292,145.76
  5. Step 5: Solve for x
    x = 416,292,145.76/29,219.42
  6. Step 6: Final answer
    x = 14,247.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.